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Finding the Third Proportional to 231,315.75 and 362,949

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Solution

The third proportional to 231,315.75 and 362,949 is: 569,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,315.75 : 362,949 = 362,949 : x
  2. Step 2: Convert to fraction form
    231,315.75/362,949 = 362,949/x
  3. Step 3: Cross multiply
    231,315.75x = 362,949 × 362,949
  4. Step 4: Simplify right side
    231,315.75x = 131,731,976,601
  5. Step 5: Solve for x
    x = 131,731,976,601/231,315.75
  6. Step 6: Final answer
    x = 569,489.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.